Speaker: Dr. Chengxi Wang (UCLA)
Time: 9:00-10:00 March 30, 2023 (Thursday)
Place: Online (Zoom ID: 4663562952 Password: mcm1234)
Title: Calabi-Yau varieties of large index
Abstract: A projective variety X is called Calabi-Yau if its canonical divisor is Q-linearly equivalent to zero. The smallest positive integer m with mK_X linearly equivalent to zero is called the index of X. Using ideas from mirror symmetry, we construct Calabi-Yau varieties with index growing doubly exponentially with dimension. We conjecture they are the largest index in each dimension based on evidence in low dimensions. We also give Calabi-Yau varieties with large orbifold Betti numbers or small minimal log discrepancy. Joint work with Louis Esser and Burt Totaro.
Speaker: Dr. Zhihao Zhao (MCM)
Title: Affine Grassmannians for G_2
Time: 10:30-11:30am, March 30, 2023
Place: MCM110 & Online (Zoom ID: 466 356 2952 Password: mcm1234)
Abstract: I will talk about affine Grassmannians for the exceptional group of type G_2. This group can be given as automorphisms of octonion algebras. I consider all maximal parahoric subgroups in G_2, and give a description of affine Grassmannians as functors classifying suitable orders in a fixed space.
Speaker: Yuxiang Jiao (Peking University)
Time: 14:00-16:00 March 31, 2023 (Friday)
Inviter: Prof. Pengyu Yang (MCM)
Place: MCM210
Title: Ergodic Theory and Semisimple Groups
Abstract: We go through Zimmer's book Chapter 2-3, making some preparations for Margulis super-rigidity theorem.
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